Impulsive observer for input-to-state stability based synchronization of Lur’e differential inclusion system

In this paper, we consider the observer design for input-to-state stability (ISS) based synchronization of Lur’e differential inclusion system. A new impulsive observer is investigated to guarantee the error system remains bounded for any bounded disturbances. An example is employed to verify the feasibility of the designed observer.

► We develop a new impulsive observer.
► We achieve the ISS based synchronization of Lur’e differential inclusion system.
► By the new impulsive observer, the cost will be reduced.